# Three-point vertices in Landau-gauge Yang-Mills theory

@article{Cucchieri2008ThreepointVI, title={Three-point vertices in Landau-gauge Yang-Mills theory}, author={Attilio Cucchieri and Axel Maas and Tereza Mendes}, journal={Physical Review D}, year={2008}, volume={77}, pages={094510} }

I. IN T R O D U C T IO N Verticesdescribethebasicinteractionsbetween theelem entarydegreesoffreedom ofQCD and arethusofcentralim portancefortheunderstandingofnon-trivialphenom ena in the physicsofstrong interactions.Thepropertiesofvertices,in particularin the m om entum regim e oftheaverageconstituentm om entum ,arecrucialforthe form ation ofbound states.Furtherm ore,thefar-infrared

## 92 Citations

An exploratory study of Yang-Mills three-point functions at non-zero temperature

- Physics
- 2016

Results for three-point functions of Landau gauge Yang-Mills theory at non-vanishing temperature are presented and compared to lattice results. It is found that the three-gluon vertex is enhanced for…

Infrared behavior of three-point functions in Landau gauge Yang–Mills theory

- Physics
- 2008

Analytic solutions for the three-gluon and ghost–gluon vertices in Landau gauge Yang–Mills theory at low momenta are presented in terms of hypergeometric series. They do not only show the expected…

The four-gluon vertex and the running coupling in Landau gauge Yang-Mills theory

- Physics, Mathematics
- 2009

We summarise results for the running coupling from the four-gluon vertex in Landau gauge, SU($N_c$) Yang-Mills theory as given by a combination of dressing functions of the vertex and the gluon…

More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions

- PhysicsSciPost Physics Core
- 2022

The three-gluon vertex has been found to be a vital ingredient in non-perturbative functional approaches. We present an updated lattice calculation of it in various kinematical configurations for all…

Quenched SU(2) scalar-gluon vertex in minimal Landau gauge

- PhysicsPhysical Review D
- 2019

The question of whether confining effects are visible in correlation functions is a long-standing one. Complementing investigations on the propagators of fundamental and adjoint scalar matter…

On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory

- Mathematics
- 2013

A bstractWe solve the Dyson-Schwinger equations of the ghost and gluon propagators of Landau gauge Yang-Mills theory together with that of the ghost-gluon vertex. The latter plays a central role in…

Callan-Symanzik equations for infrared Yang-Mills theory

- Physics
- 2017

Dyson-Schwinger equations have been successful in determining the correlation functions in Yang-Mills theory in the Landau gauge, in the infrared regime. We argue that similar results can be…

Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge

- Physics
- 2016

Solutions for the three-gluon and quark-gluon vertices from Dyson-Schwinger equations and the three-particle irreducible formalism are discussed. Dynamical quarks (“unquenching”) change the…

On Gauge Consistency In Gauge-Fixed Yang-Mills Theory

- Physics
- 2022

We investigate BRST invariance in Landau gauge Yang-Mills theory with functional methods. To that end, we solve the coupled systems of functional renormalisation group for the momentumdependent ghost…